Find the smallest positive integer n such that 135n is divisible by 360.
The smallest n = 8
135 * 8 =1080
1080 mod 360 = 0
\(\begin{array}{|rcll|} \hline \text{lcm}(360,135) &=& 1080 \\ 135n &=& 1080 \\ n &=& \dfrac{1080}{135} \\ \mathbf{n} &=& \mathbf{8} \\ \hline \end{array}\)
